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Finding the Third Proportional to 216,432 and 332,856

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Solution

The third proportional to 216,432 and 332,856 is: 511,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,432 : 332,856 = 332,856 : x
  2. Step 2: Convert to fraction form
    216,432/332,856 = 332,856/x
  3. Step 3: Cross multiply
    216,432x = 332,856 × 332,856
  4. Step 4: Simplify right side
    216,432x = 110,793,116,736
  5. Step 5: Solve for x
    x = 110,793,116,736/216,432
  6. Step 6: Final answer
    x = 511,907.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.